# Fun with Complex

Geometry Level 4

If $$\alpha$$ and $$\beta$$ are roots to the equation, $$t^2-2t +2= 0$$ and $$\dfrac{(x+\alpha)^n - (x-\beta)^n}{\alpha - \beta} = \dfrac{\sin n \theta}{\sin^n \theta}$$. Find the value of $$x$$.

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